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On Bounding the Betti Numbers and Computing the Euler Characteristic of Semi-Algebraic Sets

dc.contributor.authorBasu, S.en_US
dc.date.accessioned2006-09-08T20:19:19Z
dc.date.available2006-09-08T20:19:19Z
dc.date.issued1999-07en_US
dc.identifier.citationBasu, S.; (1999). "On Bounding the Betti Numbers and Computing the Euler Characteristic of Semi-Algebraic Sets ." Discrete & Computational Geometry 22(1): 1-18. <http://hdl.handle.net/2027.42/42421>en_US
dc.identifier.issn0179-5376en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/42421
dc.description.abstractIn this paper we prove new bounds on the sum of the Betti numbers of closed semi-algebraic sets and also give the first single exponential time algorithm for computing the Euler characteristic of arbitrary closed semi-algebraic sets.en_US
dc.format.extent120542 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag New York Inc.en_US
dc.subject.otherLegacyen_US
dc.titleOn Bounding the Betti Numbers and Computing the Euler Characteristic of Semi-Algebraic Setsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA saugata@math.lsa.umich.edu, USen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/42421/1/454-22-1-1_22n1p1.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/PL00009443en_US
dc.identifier.sourceDiscrete & Computational Geometryen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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